/* Data is in the following format
   Note, if the class group has not been computed, it, the class number, the fundamental units, regulator and whether grh was assumed are all 0.
[polynomial,
degree,
t-number of Galois group,
signature [r,s],
discriminant,
list of ramifying primes,
integral basis as polynomials in a,
1 if it is a cm field otherwise 0,
class number,
class group structure,
1 if grh was assumed and 0 if not,
fundamental units,
regulator,
list of subfields each as a pair [polynomial, number of subfields isomorphic to one defined by this polynomial]
]
*/

[x^20 - 3*x^19 + 4*x^18 - 5*x^17 + 9*x^16 - 8*x^15 + 9*x^14 - 16*x^13 + 11*x^12 - 10*x^11 + 17*x^10 - 10*x^9 + 11*x^8 - 16*x^7 + 9*x^6 - 8*x^5 + 9*x^4 - 5*x^3 + 4*x^2 - 3*x + 1, 20, 81, [0, 10], 602207464968018231001, [47, 107], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, a^13, a^14, a^15, a^16, a^17, 1/29*a^18 + 10/29*a^17 - 12/29*a^16 + 3/29*a^15 + 2/29*a^14 - 14/29*a^13 - 1/29*a^12 + 14/29*a^11 - 9/29*a^10 + 4/29*a^9 - 9/29*a^8 + 14/29*a^7 - 1/29*a^6 - 14/29*a^5 + 2/29*a^4 + 3/29*a^3 - 12/29*a^2 + 10/29*a + 1/29, 1/377*a^19 - 4/377*a^18 + 138/377*a^17 + 2/29*a^16 - 69/377*a^15 + 74/377*a^14 - 14/29*a^13 - 146/377*a^12 + 27/377*a^11 - 102/377*a^10 + 80/377*a^9 + 53/377*a^8 - 81/377*a^7 - 121/377*a^5 + 178/377*a^4 + 7/29*a^3 - 83/377*a^2 + 35/377*a + 131/377], 0, 1, [], 0, [ (245)/(377)*a^(19) - (343)/(377)*a^(18) - (159)/(377)*a^(17) - (11)/(29)*a^(16) + (1217)/(377)*a^(15) + (554)/(377)*a^(14) + (31)/(29)*a^(13) - (2854)/(377)*a^(12) - (2186)/(377)*a^(11) - (940)/(377)*a^(10) + (3675)/(377)*a^(9) + (2728)/(377)*a^(8) + (1514)/(377)*a^(7) - (194)/(29)*a^(6) - (1994)/(377)*a^(5) - (1487)/(377)*a^(4) + (93)/(29)*a^(3) + (296)/(377)*a^(2) + (619)/(377)*a - (444)/(377) , (96)/(377)*a^(19) - (202)/(377)*a^(18) + (365)/(377)*a^(17) - (63)/(29)*a^(16) + (1085)/(377)*a^(15) - (449)/(377)*a^(14) + (113)/(29)*a^(13) - (1757)/(377)*a^(12) + (239)/(377)*a^(11) - (2382)/(377)*a^(10) + (1999)/(377)*a^(9) + (434)/(377)*a^(8) + (2689)/(377)*a^(7) - (159)/(29)*a^(6) - (215)/(377)*a^(5) - (2152)/(377)*a^(4) + (76)/(29)*a^(3) + (27)/(377)*a^(2) + (1033)/(377)*a - (437)/(377) , a , (269)/(377)*a^(19) - (582)/(377)*a^(18) + (215)/(377)*a^(17) - (5)/(29)*a^(16) + (1017)/(377)*a^(15) + (159)/(377)*a^(14) - (6)/(29)*a^(13) - (2445)/(377)*a^(12) - (901)/(377)*a^(11) + (538)/(377)*a^(10) + (3138)/(377)*a^(9) + (1517)/(377)*a^(8) + (207)/(377)*a^(7) - (183)/(29)*a^(6) - (1765)/(377)*a^(5) - (140)/(377)*a^(4) + (83)/(29)*a^(3) + (774)/(377)*a^(2) + (14)/(13)*a - (82)/(377) , (254)/(377)*a^(19) - (600)/(377)*a^(18) + (758)/(377)*a^(17) - (50)/(29)*a^(16) + (1064)/(377)*a^(15) - (730)/(377)*a^(14) + (143)/(29)*a^(13) - (1308)/(377)*a^(12) + (1749)/(377)*a^(11) - (1754)/(377)*a^(10) + (118)/(377)*a^(9) - (2346)/(377)*a^(8) + (2215)/(377)*a^(7) - (3)/(29)*a^(6) + (2273)/(377)*a^(5) - (704)/(377)*a^(4) + (18)/(29)*a^(3) - (1192)/(377)*a^(2) + (21)/(13)*a - (240)/(377) , (210)/(377)*a^(19) - (190)/(377)*a^(18) - (335)/(377)*a^(17) + (23)/(29)*a^(16) + (278)/(377)*a^(15) + (1383)/(377)*a^(14) - (15)/(29)*a^(13) - (773)/(377)*a^(12) - (2572)/(377)*a^(11) - (126)/(377)*a^(10) + (550)/(377)*a^(9) + (2264)/(377)*a^(8) + (384)/(377)*a^(7) + (37)/(29)*a^(6) - (46)/(13)*a^(5) + (226)/(377)*a^(4) - (62)/(29)*a^(3) + (1)/(13)*a^(2) - (99)/(377)*a + (262)/(377) , (266)/(377)*a^(19) - (63)/(377)*a^(18) - (407)/(377)*a^(17) + (14)/(29)*a^(16) + (106)/(377)*a^(15) + (2082)/(377)*a^(14) + (99)/(29)*a^(13) + (502)/(377)*a^(12) - (2932)/(377)*a^(11) - (2211)/(377)*a^(10) - (1860)/(377)*a^(9) + (2073)/(377)*a^(8) + (2647)/(377)*a^(7) + (213)/(29)*a^(6) - (583)/(377)*a^(5) - (414)/(377)*a^(4) - (111)/(29)*a^(3) - (160)/(377)*a^(2) + (93)/(377)*a + (409)/(377) , (100)/(377)*a^(19) - (309)/(377)*a^(18) + (384)/(377)*a^(17) - a^(16) + (536)/(377)*a^(15) - (335)/(377)*a^(14) + (39)/(29)*a^(13) - (1119)/(377)*a^(12) + (204)/(377)*a^(11) - (840)/(377)*a^(10) + (1201)/(377)*a^(9) + (334)/(377)*a^(8) + (1468)/(377)*a^(7) - (94)/(29)*a^(6) - (556)/(377)*a^(5) - (1245)/(377)*a^(4) + (25)/(29)*a^(3) + (410)/(377)*a^(2) + (640)/(377)*a - (4)/(377) , (45)/(377)*a^(19) - (193)/(377)*a^(18) + (48)/(377)*a^(17) + (15)/(29)*a^(16) + (249)/(377)*a^(15) - (466)/(377)*a^(14) - (36)/(29)*a^(13) - (902)/(377)*a^(12) + (279)/(377)*a^(11) + (1559)/(377)*a^(10) + (1286)/(377)*a^(9) - (137)/(377)*a^(8) - (1188)/(377)*a^(7) - (86)/(29)*a^(6) - (362)/(377)*a^(5) + (444)/(377)*a^(4) + (51)/(29)*a^(3) - (186)/(377)*a^(2) - (63)/(377)*a + (227)/(377) ], 79.7167288943, [[x^2 - x + 12, 1], [x^5 - 2*x^4 + 2*x^3 - x^2 + 1, 5], [x^10 - x^9 + x^8 - 2*x^7 + 4*x^6 + 3*x^5 + 3*x^4 - 13*x^2 - 12*x - 13, 1], [x^10 - x^9 - x^7 + 2*x^6 - 2*x^5 + x^3 + 2*x^2 - 2*x + 1, 1], [x^10 - x^9 + 6*x^8 - 3*x^7 + 11*x^6 - 3*x^5 + 11*x^4 - 3*x^3 + 6*x^2 - x + 1, 1]]]